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2 years ago

10 points - What is the 8th term of the sequence? 8, 24, 72, 216...

Mathematics

1 answer:

m_a_m_a [10]2 years ago

8 0

Answer:

17,496 hope this helps

Step-by-step explanation:

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Men consume on average 15 grams of protein a day. Assume a normal distribution with a standard deviation of 3 grams. A sample of

tatyana61 [14]

Using the normal distribution, there is a 0.4826 = 48.26% probability that the sample mean is between 15 and 16 grams per day.

<h3>Normal Probability Distribution</h3>

The z-score of a measure X of a normally distributed variable with mean $\mu$ and standard deviation $\sigma$ is given by:

$Z = \frac{X - \mu}{\sigma}$

The z-score measures how many standard deviations the measure is above or below the mean.

Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.

By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation $s = \frac{\sigma}{\sqrt{n}}$ .

For this problem, the parameters are given as follows:

$\mu = 15, \sigma = 3, n = 40, s = \frac{3}{\sqrt{40}} = 0.4743$

The probability is the <u>p-value of Z when X = 16 subtracted by the p-value of Z when X = 15</u>, hence:

X = 16:

$Z = \frac{X - \mu}{\sigma}$

By the Central Limit Theorem

$Z = \frac{X - \mu}{s}$

$Z = \frac{16 - 15}{0.4743}$

Z = 2.11

Z = 2.11 has a p-value of 0.9826.

X = 15:

$Z = \frac{X - \mu}{s}$

$Z = \frac{15 - 15}{0.4743}$

Z = 0

Z = 0 has a p-value of 0.5.

0.9826 - 0.5 = 0.4826 = 48.26% probability that the sample mean is between 15 and 16 grams per day.

More can be learned about the normal distribution at brainly.com/question/15181104

#SPJ1

4 0

1 year ago

Write the set of points greater than or equal to −5−5 but strictly less than 44, excluding 00, as a union of two intervals (if y

Alecsey [184]

What we want to draw is the half closed interval:

I= [-5, 4) excluding 0,

as the union of 2 different intervals say a and b.

Let a be the interval containing the smallest value.

Then the smallest value of a is -5, and the largest possible value of a is 0, not included, if we want to write a as an interval, without "gaps", or "holes".

So a=[-5, 0)

similarly, b=(0, 4).

Answer: [-5, 4)=[-5, 0)∪(0, 4)

7 0

3 years ago

Is it congruent or not ? Remember that the diagram may not be drawn to scale . justify your conclusion.

Leno4ka [110]

Yes, we can see each triangle has congruent angle, side, angle, respectively (SAD). When two triangles have these correlating congruences, they can be determined as congruent.

4 0

2 years ago

The Area of a square at right is 72 square units Find the value of X, <br>Did I do this right?

Assoli18 [71]

Yes, your work is correct.

The diagram does illustrate x²+6x+9=72. This is also represented by

(x+3)² = 72

We can take the square root of both sides:
$\sqrt{(x+3)^2}=\sqrt{72}
\\
\\x+3=\pm 6 \sqrt2
\\
\\x+3-3=\pm 6 \sqrt{2} -3
\\
\\x=-3\pm 6\sqrt{2}$

When we evaluate this, the answers are x = -11.5 or x = 5.5.

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2 years ago

Find the measure of missing angle

Bas_tet [7]

Answer:

58 degrees

Step-by-step explanation:

90 - 32 = 58

3 0

2 years ago